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Nonlinear fast sausage waves in homogeneous magnetic flux tubes

  • Badma B. Mikhalyaev (a1) and Michael S. Ruderman (a2) (a3)
Abstract

We consider fast sausage waves in straight homogeneous magnetic tubes. The plasma motion is described by the ideal magnetohydrodynamic equations in the cold plasma approximation. We derive the nonlinear Schrödinger equation describing the nonlinear evolution of an envelope of a carrier wave. The coefficients of this equation are expressed in terms Bessel and modified Bessel functions. They are calculated numerically for various values of parameters. In particular, we show that the criterion for the onset of the modulational or Benjamin–Fair instability is satisfied. The implication of the obtained results for solar physics is discussed.

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Email address for correspondence: m.s.ruderman@sheffield.ac.uk
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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

P. M. Edwin  & B. Roberts 1983 Wave propagation in a magnetic cylinder. Solar Phys. 88, 179191.

J. V. Harvey 1977 Observations of small-scale photospheric magnetic fields. Highlights Astron. 4, 223239.

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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
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